648B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 648B to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 648B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 648B by 16⁰, multiply the second to last digit in 648B by 16¹, multiply the third to last digit in 648B by 16², multiply the fourth to last digit in 648B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
8 × 16¹ = 128
4 × 16² = 1024
6 × 16³ = 24576

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

11 + 128 + 1024 + 24576 = 25739

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

25739 ÷ 2 = 12869 with 1 remainder
12869 ÷ 2 = 6434 with 1 remainder
6434 ÷ 2 = 3217 with 0 remainder
3217 ÷ 2 = 1608 with 1 remainder
1608 ÷ 2 = 804 with 0 remainder
804 ÷ 2 = 402 with 0 remainder
402 ÷ 2 = 201 with 0 remainder
201 ÷ 2 = 100 with 1 remainder
100 ÷ 2 = 50 with 0 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 648B hexadecimal to binary:

648B hexadecimal = 110010010001011 binary

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